Standing on one bank of a river, Farhan sees the top of a tree on the opposite bank at an elevation of 60°. He walks 30 m straight back from the bank and the elevation becomes 30°. How tall is the tree?

Question

Accepted Answer

15√3 m. If the river is w m wide, h = w√3 and h = (w + 30)/√3. So 3w = w + 30, w = 15 m and h = 15√3 m ≈ 26 m.

Standing on one bank of a river, Farhan sees the top of a tree on the opposite bank at an elevation of 60°. He walks 30 m straight back from the bank and the elevation becomes 30°. How tall is the tree?

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